Our family visited Osceola National Forest in Northern Florida as a stop in our month-long Florida bike trip. We spent a week at the National Forest, camping and enjoying the time together as a family.
Osceola is just east of Lake City, Florida, a city with about everything you may need. We loaded up on supplies (food, diapers, water) in Lake City and biked about 17 miles east to Ocean Pond Campground in Osceola National Forest. It is a beautiful forest, well-maintained with periodic burnings to clear underbrush, cleared trails, and primitive and non-primitive campsites.
There was a primitive campsite that only charged $2 per day, but we went to the Ocean Pond campground, and paid for a tent site for $8 a day. There was water available nearby, 2 bathhouses, one with showers and laundry, and a playground and beach. There were RV and trailer sites as well, but the tent area was separate a bit, fully wooded, and nice big private areas for tenting. Many people there were camping for a longer-term as you are able to tent for a total of 1 month at a time in the National Forest.